Pith Number

pith:ZWASACG5

pith:2015:ZWASACG5F63I6MGEUJ26GSCUWM

not attested not anchored not stored refs pending

Sub-exponential Approximation Schemes for CSPs: from Dense to Almost Sparse

Dimitris Fotakis, Michael Lampis, Vangelis Th. Paschos

arxiv:1507.04391 v1 · 2015-07-15 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWASACG5F63I6MGEUJ26GSCUWM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:36:47.546840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd812008dd2fb68f30c4a275e34854b337ed91ebb7cb3b0c6d6d976d9c97a61b

Aliases

arxiv: 1507.04391 · arxiv_version: 1507.04391v1 · doi: 10.48550/arxiv.1507.04391 · pith_short_12: ZWASACG5F63I · pith_short_16: ZWASACG5F63I6MGE · pith_short_8: ZWASACG5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZWASACG5F63I6MGEUJ26GSCUWM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cd812008dd2fb68f30c4a275e34854b337ed91ebb7cb3b0c6d6d976d9c97a61b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99dbdfbf010baa49f3948c21d286f556c21d95f6299dbf4489f66dd064c35abc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-07-15T20:48:19Z",
    "title_canon_sha256": "67226e3305efdc6a21f529a8b21442694c45acec09e4a4aa2ae968ebb5a604cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04391",
    "kind": "arxiv",
    "version": 1
  }
}